Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966j |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22063104 |
Modular degree for the optimal curve |
Δ |
-7.5268597687902E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 1 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48041487,183963151653] |
[a1,a2,a3,a4,a6] |
j |
-12589171852447/7727480832 |
j-invariant |
L |
2.1981932437599 |
L(r)(E,1)/r! |
Ω |
0.068693535443963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966bu1 4998t1 |
Quadratic twists by: -7 17 |